Math 100
Calculus I
Description
Review of numbers, inequalities, functions, analytic geometry; limits, continuity; derivatives and applications, Taylor polynomials; log, exp, and inverse trig functions. Integration, fundamental theorem of calculus substitution, trapezoidal and Simpson's rules. Prerequisites: Pure Mathematics 30 or Mathematics 30-1 or equivalent, and Mathematics 31. Notes: (1) Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, or SCI 100. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students.Learning Outcomes
Find limits of sequences and functions. Determine where a function is continuous/discontinuousUse mathematical induction to prove mathematical statements
Find derivatives of functions using the definition of the derivative, as well as rules of differentiation
Find tangent lines. Approximate functions using their linearizations or Taylor polynomials
Find extreme values of a continuous function on a closed interval
Sketch the graph of a function
Remember and correctly use the Intermediate Value Theorem and the Mean Value Theorem
Recognize limits involving indeterminate forms and compute them using l"Hospital"s rule
Recognize problems on related rates and optimization problems; solve them using the knowledge of derivatives
Use Newton's method to approximate roots of equations
Set up Riemann sums for a definite integral and evaluate definite integrals of simple functions as the limit of Riemann sums
Evaluate indefinite integrals using the substitution rule. Use the Fundamental Theorem of Calculus to evaluate definite integrals
| Lecture | Seminar | Lab | Credits | Total AU |
|---|---|---|---|---|
| 3 | 0/1 | 1/1 | 3.5 | 44.1 |
| M % | NS % | CS % | ES % | ED % |
|---|---|---|---|---|
| 100 | 0 | 0 | 0 | 0 |
None defined
None defined
Undergraduate Program(s)
| 2024/2025 - Fall - Pete-coop - Year 1 |
| 2024/2025 - Fall - Pete - Year 1 |
| 2024/2025 - Fall - Mining - Year 1 |
| 2024/2025 - Fall - Enve-coop - Year 1 |
| 2024/2025 - Fall - Enve - Year 1 |
| 2024/2025 - Fall - Civil-coop - Year 1 |
| 2024/2025 - Fall - Civil - Year 1 |
| 2023/2024 - Fall - Pete-coop - Year 1 |
| 2023/2024 - Fall - Pete - Year 1 |
| 2023/2024 - Fall - Mining - Year 1 |
| 2023/2024 - Fall - Enve-coop - Year 1 |
| 2023/2024 - Fall - Enve - Year 1 |
| 2023/2024 - Fall - Civil-coop - Year 1 |
| 2023/2024 - Fall - Civil - Year 1 |
| 2022/2023 - Fall - Pete-coop - Year 1 |
| 2022/2023 - Fall - Pete - Year 1 |
| 2022/2023 - Fall - Mining - Year 1 |
| 2022/2023 - Fall - Enve-coop - Year 1 |
| 2022/2023 - Fall - Enve - Year 1 |
| 2022/2023 - Fall - Civil-coop - Year 1 |
| 2022/2023 - Fall - Civil - Year 1 |
| 2021/2022 - Fall - Pete-coop - Year 1 |
| 2021/2022 - Fall - Pete - Year 1 |
| 2021/2022 - Fall - Mining - Year 1 |
| 2021/2022 - Fall - Enve-coop - Year 1 |
| 2021/2022 - Fall - Enve - Year 1 |
| 2021/2022 - Fall - Civil-coop - Year 1 |
| 2021/2022 - Fall - Civil - Year 1 |
| 2020/2021 - Fall - Pete-coop - Year 1 |
| 2020/2021 - Fall - Pete - Year 1 |
| 2020/2021 - Fall - Mining - Year 1 |
| 2020/2021 - Fall - Enve-coop - Year 1 |
| 2020/2021 - Fall - Enve - Year 1 |
| 2020/2021 - Fall - Civil-coop - Year 1 |
| 2020/2021 - Fall - Civil - Year 1 |
| 2019/2020 - Fall - Pete-coop - Year 1 |
| 2019/2020 - Fall - Pete - Year 1 |
| 2019/2020 - Fall - Mining - Year 1 |
| 2019/2020 - Fall - Enve-coop - Year 1 |
| 2019/2020 - Fall - Enve - Year 1 |
| 2019/2020 - Fall - Civil-coop - Year 1 |
| 2019/2020 - Fall - Civil - Year 1 |
Sections & Respective Instructors
| EA1 - 2024/2025 - Fall - Instructor non-P.Eng |
| EA1 - 2023/2024 - Fall - Instructor non-P.Eng |
| EA1 - 2022/2023 - Fall - Instructor non-P.Eng |
| EA1 - 2021/2022 - Fall - Instructor non-P.Eng |
| EA1 - 2020/2021 - Fall - Instructor non-P.Eng |
| EA1 - 2019/2020 - Fall - Instructor non-P.Eng |